Rational Functions Asymptotes

Front

What is a rational function?

Back

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CCSS.HSF-IF.C.7D

Front

What is a vertical asymptote?

Back

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CCSS.HSF-IF.C.7D

Front

How do you find vertical asymptotes of a rational function?

Back

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CCSS.HSF-IF.C.7D

Front

What is a horizontal asymptote?

Back

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CCSS.HSF-IF.C.7D

Front

How do you determine horizontal asymptotes for rational functions?

Back

To find horizontal asymptotes, compare the degrees of the numerator and denominator: If degree of P < degree of Q, then y = 0; if degree of P = degree of Q, then y = leading coefficient of P / leading coefficient of Q; if degree of P > degree of Q, there is no horizontal asymptote.

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CCSS.HSF-IF.C.7D

Front

What are intercepts of a function?

Back

Front

How do you find x-intercepts of a rational function?

Back

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CCSS.HSF-IF.C.7D

Front

How do you find y-intercepts of a rational function?

Back

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CCSS.HSF-IF.C.7D

Front

What does it mean if a function is undefined at a certain point?

Back

A function is undefined at a point if the denominator equals zero at that point, leading to division by zero.

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CCSS.HSF-IF.C.7D

Front

What is the significance of the leading coefficient in determining horizontal asymptotes?

Back

The leading coefficient of the numerator and denominator polynomials determines the value of the horizontal asymptote when the degrees of the polynomials are equal.

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CCSS.HSF-IF.C.7D